hdu 4033 二分几何
参考:http://blog.csdn.net/libin56842/article/details/26618129
题意:给一个正多边形内点到其他顶点的距离(逆时针给出),求正多边形的边长
二分多边形的边长
aaarticlea/png;base64,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" alt="" />
根据余弦定理求出A的角度,之后求出所有角度,加起来是否为360,小于则扩大,大于则缩小边
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <algorithm>
using namespace std;
#define pi acos(-1.0)
#define exp 1e-8
int main()
{
int t,n,i,j,flag,cas = ;
double a[];
scanf("%d",&t);
while(t--)
{
scanf("%d",&n);
flag = ;
for(i = ; i<n; i++)
scanf("%lf",&a[i]);
a[n] = a[];
double l = ,r = ,mid;
for(i = ; i<=n; i++)
{
r = min(r,a[i]+a[i-]);
l = max(l,fabs(a[i]-a[i-]));
}
while(r-l>exp)
{
mid = (l+r)/;
double s,sum=;
for(i = ; i<=n; i++)
{
s = (a[i]*a[i]+a[i-]*a[i-]-mid*mid)/(2.0*a[i]*a[i-]);
sum+=acos(s);
}
if(fabs(sum-*pi)<exp)
{
flag = ;
break;
}
else if(sum>*pi)
r = mid;
else
l = mid;
}
printf("Case %d: ",cas++);
if(flag)
printf("%.3f\n",mid);
else
printf("impossible\n");
} return ;
}
hdu 4033 二分几何的更多相关文章
- hdu 4024 二分
转自:http://www.cnblogs.com/kuangbin/archive/2012/08/23/2653003.html 一种是直接根据公式计算的,另外一种是二分算出来的.两种方法速度 ...
- hdu 4033 2011成都赛区网络赛 余弦定理+二分 **
二分边长,判断最后内角和是否为2pi,注意l与r的选取,保证能组成三角形 #include<cstdio> #include<iostream> #include<alg ...
- hdu 4033 Regular Polygon 计算几何 二分+余弦定理
题目链接 给一个n个顶点的正多边形, 给出多边形内部一个点到n个顶点的距离, 让你求出这个多边形的边长. 二分边长, 然后用余弦定理求出给出的相邻的两个边之间的夹角, 看所有的加起来是不是2Pi. # ...
- hdu 1669(二分+多重匹配)
题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1669 思路:由于要求minimize the size of the largest group,由此 ...
- HDU 3586 二分答案+树形DP判定
HDU 3586 『Link』HDU 3586 『Type』二分答案+树形DP判定 ✡Problem: 给定n个敌方据点,1为司令部,其他点各有一条边相连构成一棵树,每条边都有一个权值cost表示破坏 ...
- hdu 4004 (二分加贪心) 青蛙过河
题目传送门:http://acm.hdu.edu.cn/showproblem.php?pid=4004 题目意思是青蛙要过河,现在给你河的宽度,河中石头的个数(青蛙要从石头上跳过河,这些石头都是在垂 ...
- hdu 5046 二分+DLX模板
http://acm.hdu.edu.cn/showproblem.php?pid=5046 n城市建k机场使得,是每个城市最近机场的距离的最大值最小化 二分+DLX 模板题 #include < ...
- HDU 5699 二分+线性约束
http://acm.hdu.edu.cn/showproblem.php?pid=5699 此题满足二分性质,关键在于如何判断当前的时间值可以满足所有的运送方案中的最长的时间. 对于每一次枚举出的k ...
- hdu 3277(二分+最大流+拆点+离线处理+模板问题...)
Marriage Match III Time Limit: 10000/4000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Othe ...
随机推荐
- 锋利的jQuery-4--动画方法总结简表
- VirtualBox下安装rhel5.5 linux系统
以前也用过VMware server和VMware workstation虚拟机,现在使用了一段时间VirtualBox,感觉它比较轻巧,很适合我,在Win7系统下用起来很方便.下面详细介绍下在Vir ...
- Quartz.net开源作业调度框架使用详解(转)
前言 quartz.net作业调度框架是伟大组织OpenSymphony开发的quartz scheduler项目的.net延伸移植版本.支持 cron-like表达式,集群,数据库.功能性能强大更不 ...
- c# 重写索引
//using System;//using System.Collections.Generic;//using System.Text; //namespace 索引//{// class ...
- linux读写ntfs
frankly speaking, i hope to get a higher salary. yours frankly= yours sincerely = sincerely yours =y ...
- Spring常用annotation标签
@Service @Scope @Transactional @Autowired @Qualifier @PostConstruct @PreDestroy
- Python调用C/Fortran混合的动态链接库-下篇
接着前面的内容,我们在这里继续介绍Python传递二维数组到fortran并进行简单计算后返回的例子. 问题描述: module py2f90 use,intrinsic::iso_c_binding ...
- 神秘代码让iPhone微信闪退的解决方法
14号晚,很多人的微信朋友圈中出现了这样几句话“听说苹果手机点全文就会闪退”,下方有好几行空白,需要点击“全文”才能看到,但是一旦你是在iPhone手机微信上点击“原文”后就直接闪退了,而用Andro ...
- [Effective JavaScript 笔记] 第10条:避免使用with
with特性,提供的任何“便利”都更让其变得不可靠和低效率. with语句的用法,可以很方便地避免对对象的重复引用.上面的代码整理成下面的形式 function status(info){ var w ...
- RHEL6.2下挂载光驱安装软件
导读 在RHEL6.2命令行模式下挂载虚拟光驱安装软件也许会难倒许多新手,下面我给大家详细介绍一下.首先说明一下,本教程是以RHEL6.2版本下安装Apache为例.主要讲述挂载虚拟光驱的方法.环境: ...